Artin representation search results

Results (10 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
2.132...632.8t17.a.a 2.132...632.8t17.a.b	$2$	$ 2^{5} \cdot 41^{2} \cdot 97^{2} \cdot 5113^{2}$	$4$	8.8.551028525353868662092660736.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.137...400.8t17.a.a 2.137...400.8t17.a.b	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 661^{2} \cdot 1481^{2}$	$5$	8.8.218850256853239165346880000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.663...648.4t3.a.a	$2$	$ 2^{3} \cdot 17^{2} \cdot 617^{2} \cdot 8681^{2}$	$4$	4.4.6039507318789990410925832.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.663...648.8t17.a.a 2.663...648.8t17.a.b	$2$	$ 2^{3} \cdot 17^{2} \cdot 617^{2} \cdot 8681^{2}$	$4$	8.8.3092227747220475090394025984.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.715...600.8t17.a.a 2.715...600.8t17.a.b	$2$	$ 2^{6} \cdot 5^{2} \cdot 1289^{2} \cdot 5189^{2}$	$4$	8.8.95754621176836002259520000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.102...968.4t3.a.a	$2$	$ 2^{3} \cdot 17^{2} \cdot 41^{2} \cdot 281^{2} \cdot 577^{2}$	$5$	4.4.11546084205182355353577352.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.203...400.8t17.a.a 2.203...400.8t17.a.b	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 61^{2} \cdot 229^{2} \cdot 269^{2}$	$6$	8.8.12377424864843026087791680000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.391...600.8t17.a.a 2.391...600.8t17.a.b	$2$	$ 2^{6} \cdot 5^{2} \cdot 1621^{2} \cdot 9649^{2}$	$4$	8.8.1224463777125474965564480000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.408...872.8t17.a.a 2.408...872.8t17.a.b	$2$	$ 2^{5} \cdot 17^{2} \cdot 41^{2} \cdot 281^{2} \cdot 577^{2}$	$5$	8.8.94585521808853855056505667584.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.300...600.8t17.a.a 2.300...600.8t17.a.b	$2$	$ 2^{6} \cdot 5^{2} \cdot 29^{2} \cdot 109^{2} \cdot 13709^{2}$	$5$	8.8.26039988921306787107183680000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$